| 非线性椭圆和抛物方程熵解和重正规化解的等价性讨论 |
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| 引用本文： | 葛桦,徐传芳.非线性椭圆和抛物方程熵解和重正规化解的等价性讨论[J].曲阜师范大学学报,2002,28(1):31-34. |
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| 作者姓名： | 葛桦 徐传芳 |
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| 作者单位： | [1]曲阜师范大学数学系，山东省曲阜市273165 [2]临沂师范学院数学系，山东省临沂市276005 |
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| 摘 要： | 研究了具L^1类（自由项）的非线性椭圆和抛物方程熵解和重正规化解的关系，首先对椭圆型情况，熵解和重正规化解是等价的，对抛物型情况，证明了任一重正规化解一定是熵解。
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| 关 键 词： | 非线性椭圆方程 非线性抛物方程 熵解 重正规化解 等价性 试验函数 |
| 文章编号： | 1001-5337(2002)01-0031-04 |
| 修稿时间： | 2001年4月5日 |
Equivalence of the entropy solutions and renormalized solution of nonlinear elliptic equations and nonlinear parabolic equations with L1 data |
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| Abstract: | In this paper, the authors studied the relation between entropy solutions and renormalized solution of nonlinear elliptic equations and nonlinear parabolic equations with L 1 data. For elliptic problems, equivalence of entropy solutions and renormalized solutions has been established. It is also proved that any renormalized solution must be entropy solution. Z |
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| Keywords: | nonlinear elliptic equations nonlinear parabolic eqations entropy solution renormalized solution |
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